Question : If $\frac{21\cos A+3\sin A}{3\cos A+4\sin A}=2$, then find the value of cot A.

Option 1: $\frac{9}{11}$

Option 2: $\frac{11}{9}$

Option 3: $\frac{1}{3}$

Option 4: $\frac{11}{10}$

Question : If $(4 y-\frac{4}{y})=13$, find the value of $(y^2+\frac{1}{y^2})$.

Option 1: $12 \frac{11}{16}$

Option 2: $10 \frac{9}{16}$

Option 3: $12 \frac{9}{16}$

Option 4: $8 \frac{9}{16}$

Question : A sum of Rs.10 is lent by a child to his friend to be returned in 11 monthly instalments of Re.1 each, the interest being simple. The rate of interest is:

Option 1: $11 \frac{9}{11} \%$

Option 2: $21 \frac{9}{11} \%$

Option 3: $10 \frac{2}{11} \%$

Option 4: $9 \frac{1}{11} \%$

Question : Choose the option in which the numbers are in the correct ascending order.

Option 1: $\frac{4}{5}, \frac{2}{3}, \frac{1}{11}$ and $\frac{2}{9}$

Option 2: $\frac{1}{11}, \frac{2}{9}, \frac{2}{3}$ and $\frac{4}{5}$

Option 3: $\frac{2}{9}, \frac{1}{11}, \frac{4}{5}$ and $\frac{2}{3}$

Option 4: $\frac{2}{3}, \frac{4}{5}, \frac{1}{11}$ and $\frac{2}{9}$

Question : The reciprocal of the sum of the reciprocals of $\frac{2}{9}$ and $\frac{7}{10}$ is:

Option 1:  $\frac{14}{83}$

Option 2: $\frac{83}{14}$

Option 3: $\frac{90}{83}$

Option 4: $\frac{83}{90}$